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WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE

Published online by Cambridge University Press:  01 October 2004

Z˘ELJKO C˘UC˘KOVIĆ
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, [email protected]@utoledo.edu
RUHAN ZHAO
Affiliation:
Department of Mathematics, University of Toledo, Toledo, OH 43606-3390, [email protected]@utoledo.edu
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Abstract

Bounded, compact and Schatten class weighted composition operators on the Bergman space are characterized by the use of generalized Berezin transforms. An estimate of the essential norms of weighted composition operators on the Bergman space is given. Most of the results remain true for Hardy spaces and weighted Bergman spaces.

Keywords

Type
Notes and Papers
Copyright
The London Mathematical Society 2004

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